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Finding the Fourth Proportional to 12,075.11, 16,649.17 and 7,824.62

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Solution

The fourth proportional to 12,075.11, 16,649.17 and 7,824.62 is: 10,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.11 : 16,649.17 = 7,824.62 : x
  2. Step 2: Convert to fraction form
    12,075.11/16,649.17 = 7,824.62/x
  3. Step 3: Cross multiply
    12,075.11x = 16,649.17 × 7,824.62
  4. Step 4: Simplify right side
    12,075.11x = 130,273,345.32
  5. Step 5: Solve for x
    x = 130,273,345.32/12,075.11
  6. Step 6: Final answer
    x = 10,788.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.